124 citations · 257 across the 19 of their papers we have counts for
4 papers · 2 filters
On Structural Stability of 3D Filippov Systems: A Semi-Local Approach
Otávio M. L. Gomide, Marco A. Teixeira
The main purpose of this work is to provide a non-local approach to study aspects of structural stability of 3D Filippov systems. We introduce a notion of semi-local structural sta…
The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems
Douglas Duarte Novaes, Marco Antonio Teixeira, Iris de Oliveira Zeli
Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for -parameter families of planar vector fields. In the present s…
Generic Singularities of 3D Piecewise Smooth Dynamical Systems
Otávio M. L. Gomide, Marco A. Teixeira
The aim of this paper is to provide a discussion on current directions of research involving typical singularities of 3D nonsmooth vector fields. A brief survey of known results is…
Homoclinic boundary-saddle bifurcations in nonsmooth vector fields
Kamila da Silva Andrade, Mike R. Jeffrey, Ricardo M. Martins +1
In a smooth dynamical system, a homoclinic connection is a closed orbit returning to a saddle equilibrium. Under perturbation, homoclinics are associated with bifurcations of perio…